A. 121

B. 81

C. 100

D. 64

**Answer:**

[tex]100 < 112 < 121[/tex]

[tex] \sqrt{100} < \sqrt{112} < \sqrt{121} [/tex]

[tex]10 < \sqrt{112} < 11[/tex]

A and C are the desired numbers.

A car travels a distance of 100km for 1h38min45sec.a)Round off the time to the nearest 1/4 hour b)Use the rounded time to find the average speed for the journey

**Answer: 57.14 km/hr**

**Step-by-step explanation: if an hour is divided into quarters it will be in increments of 15 minutes, since one hour is 60 minutes. 60 minutes divided by 5 is 15 minutes. **

**So 1 hour and 38 minutes is rounded off to 1 hour and 45 minutes.**

**this is 1 hour + 3/4 hour = 1 3/4 hour. This is same as 1.75 hour**

**3/4 is .75**

**speed divided by the time will give the average speed.**

**100km/1.75hours = 57.14 km/per hour**

**Answer:**

(a) 1 hour 45 min

(b) 57.1 km/h (nearest tenth)

**Step-by-step explanation:**

Given information:

Distance = 100 kmTime = 1 h 38 min 45 sec[tex]\large\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]

Part (a)[tex]\begin{aligned}\sf \dfrac{1}{4}\;hour &= \sf 1 \; hour \div 4 \\& = \sf 60 \;mins \div 4\\& = \sf 15 \; mins\end{aligned}[/tex]

Therefore, the nearest ¹/₄ hours either side of the given **time **is:

1 h 38 min 45 sec is **8 min 45 sec** more than 1 hour 30 min.

1 h 38 min 45 sec is **6 min 15 sec** less than 1 hour 45 min.

Therefore, the nearest ¹/₄ hour to the given time is:

1 hour 45 min.Part (b)1 hour 45 min = 1.75 min (in decimal form)

Substitute the given **distance **and the rounded **time **(in decimal form) into the **formula **and solve for **speed**:

[tex]\begin{aligned} \implies \sf Speed & =\sf \dfrac{Distance}{Time}\\\\& = \sf \dfrac{100}{1.75}\\\\& = \sf 57.1\;km/h\;(nearest\;tenth)\end{aligned}[/tex]

Find the midpoint of the line segment joining the points (-2,-3) and (-4,10)

THE MIDPOINT FORMULAR IS GIVEN BY

[tex]( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ \\ = (\frac{ - 2 + ( - 4)}{2} . \frac{ - 3 + 10}{2} ) \\ = ( \frac{ - 6}{2} . \frac{7}{2} ) \\ = ( - 3. \frac{7}{2} )[/tex]

ATTACHED IS THE SOLUTION

The lengths of the side of a triangle are 6, 8, 10. Can the triangle be a right triangle?

**Yes, **the triangle is a** right-angle triangle.**

Right angle triangle is a triangle in which one of the angles as 90 degree.

For the triangle to be right angle triangle

**perpendicular² + base² = hypotenuse² **

The three sides of a triangle are 6, 8 and 10

So,

6² + 8² = 10²

36 + 64 = 100

100 = 100

Therefore the **triangle is a right-angle triangle.**

To know more about **the right angle triangle** refer to the link given below:

https://brainly.com/question/64787

#SPJ1

Together, Luke and James have never eaten more than 16 pieces of pizza at one time.Which equation describes y, the total number of pieces that Luke has eaten at one time givenx, the number of pieces that James has eaten?a. y <_16-x b. y>_16-x c. y=16-x d. not here

**y ≤ 16 - x (option A)**

let the total number of pieces Luke ate at a time = y

Let the total number of pieces James ate at a time = x

They have never eaten more than 16 pices of pizza

This is written as:

maximum 16 : ≤ 16

number of pieces Luke ate at a time + total number of pieces James ate at a time ≤ 16

y + x ≤ 16

rewritting to make y subject of formula:

**y ≤ 16 - x (option A)**

Assuming the population has an approximate normal distribution,

if a sample size n = 12 has a sample mean

= 36 with a sample standard deviations = 9, find the margin of error at a 98% confidence level. Round

the answer to two decimal places.

E = 38.33 the margin of error at a 98% confidence level by **standard deviation mean.**

**What does standard deviation mean ?**

Given that,

bar x = 36

s = 9

n = 12

Degrees of freedom = df = n - 1 =12 - 1 = 11

At 98% confidence level the t is ,

∝ = 1 - 98% = 1 - 0.98 ⇒ 0.02

∝/2 = 0.02/2 = 0.01

t∝/2 df = t0.01 ,11 = 1.231

Margin of error = E = t∝/2, df * ( s/n/sqrtn)

E = 1.231 * ( 9 /0.01/sqrt12)

E = 38.33

Learn more about **"standard deviation"**

**brainly.com/question/16555520**

**#SPJ13**

7.

Write and solve the system of equations needed to model this situation: You have thirty coins

a total value of $3.40, which are made up of nickels, dimes, and quarters. There are twice as many

nickels than quarters. How many of each type of coin do you have?

The **system of equations **for the given conditions in question includes equation: 3.40 = 0.05x + 0.1y + 0.25z, and 2x = z. and we have 2 nickels, 23 dimes, and 4 quarters.

**What is system of equations?**

A** system of equations** is a collection of some equations with one or more numbers of variables. **Systems of equations** have solutions that are either the variable mappings that satisfy each component equation or the intersections of all of these equations.

Let the quantities of nickels, dimes, and quarters are x, y, and z respectively.

We know that, 1 nickel = $0.05, 1 dime = $0.1, and 1 quarter = $0.25

So, the values of nickels, dimes, and quarters would be value of one times total quantity.

Nickels = 0.05x, dimes = 0.1y, and quarters = 0.25z

As given in the question, the total value is 3.40

So, we get equation:

**3.40 = 0.05x + 0.1y + 0.25z**

Also it is given that there are twice as many nickels than quarters.

**2x = z **

Combining above two **equations **

3.40 = 0.05x + 0.1y + 0.25(2x)

3.40 = 0.05x + 0.1y + 0.5x

3.40 = 0.55x + 0.1y

Lets put 2 in place of x, we get y

(3.40 - 1.1)0.1 = y

y = 23.

Now, putting values of x, y in **equation **to get value of z

3.40 = 0.05(2) + 0.1(23) + 0.25z

3.40 = 0.1 + 2.3 + 0.25z

(3.40 - 2.4)/0.25 = z

z = 4

Therefore, we have 2 nickels, 23 dimes, and 4 quarters.

To know more about** system of equations**, go to link

https://brainly.com/question/13729904

#SPJ13

PLS HELP I NEED IT

The formula C=3.14d can be used to approximate the circumference of a circle given its diameter. Company A manufactures and sells a certain washer with an outside circumference of 6 centimeters. The company has decided that a washer whose actual circumference is in the interval 5.8

Solving the **circumference **function, we have that:

The corresponding **interval for diameters **of the washers is 1.85 ≤ d ≤ 1.97.

The circumference of a circle of **diameter d** is given by:

C = 3.14d.

As stated in the problem.

The **interval of circumference** values is:

5.8 ≤ C ≤ 6.2.

Hence the **lowest **possible value for the **diameter **is given by:

3.14d = 5.8

d = 5.8/3.14

d = 1.85.

The **highest **possible value for the diameter is given by:

3.14d = 6.2

d = 6.2/3.14

d = 1.97.

Then the **compound inequality** that completes the given sentence is:

1.85 ≤ d ≤ 1.97.

What is the missing information?The interval for the **circumference values** is given by:

5.8 ≤ C ≤ 6.2.

We have to **complete **the following sentence with the compound inequality:

The corresponding **interval for diameters **of the washers is

More can be learned about the **circumference of a circle **at https://brainly.com/question/20489969

#SPJ1

HURRY Find all solutions to the equation x3 + 100x + 8x2 = –800.

–10, –8, 10

–10, 8, 10

8, –10i, 10i

–8, –10i, 10i

**Answer:**

-8, -10i, 10i

**Step-by-step explanation:**

x^3 + 8x^2 + 11x = -800

I just plugged it into my calculator

Is a tutor availible

So if i have a bag of rice of 3.5 pounds, that means that it weighs:

[tex]3.5\text{ pounds = 56 ounces}[/tex]since

[tex]3.5\text{ x 16 = 56}[/tex]that means that you will have enough rice for the recipe

(A.) Given the one-to-one function f(x)= 7x - 2, find it's inverse function.

Which is f ^ -1(x)= 1/7x - 2/7

(B.) The graphs of f and f^ -1 are symmetric with respect to the line defined by

y = _______

The **inverse function** of **one-to-one function** f(x)= 7x - 2 is [tex]f^{-1}=\frac{x}{7}+\frac{2}{7}[/tex].

The **graphs** of f and [tex]f^{-1}[/tex] are** symmetric** with respect to the **line** defined by y = x.

Given that:-

f(x)= 7x - 2

Let f(x) = y

Hence,

[tex]f^{-1}(y)=x[/tex]

Hence, we can write,

y = 7x - 2

y + 2 = 7x

x = y/7 + 2/7

[tex]f^{-1}(y) = y/7 + 2/7[/tex]

Replacing y by x, we get,

[tex]f^{-1}(x) = x/7 + 2/7[/tex]

Hence, the inverse function of f(x) is [tex]f^{-1}(x) = x/7 + 2/7[/tex].

The graph of inverse is always the **mirror image** of the function's **graph** in the line y = x. It is because they're basically 100% similar but in** reverse** just like you in a mirror.

To learn more about **inverse function**, here:-

https://brainly.com/question/2541698

#SPJ1

how do we do this one there three parts to it

Given the following question:

Part A:

Your answer is option B, you can find this by checking the values. We are given 107, 128, 163, 212, 275 if you check the values on the graph, you can see that they are exact. So, your answer is option B.

2(x+4)-3(2x-5)=-3

What is the answer

**Answer: **x= 13/2 or 6 1/2

**Step-by-step explanation:**

2(x+4)-3(2x-5)=-3

Simplify the equation,

2x+8-6x+15 = -3

-4x+23= -3

-4x = -26

Cancel the minus sign, now we get

2x = 13

i.e., **x= 13/2**

If x = 2 and y=-3, then xy^2 =

**Step-by-step explanation:**

Answer:

-18

Step-by-step explanation:

-xy^2 =

Let x=2 and y = -3

-(2) (-3)^2

-2 (9)

-18

**Answer:**

18.

**Step-by-step explanation:**

(2)(-3)^2

Parentheses first. There's nothing to do so, the exponent is next. -3^2 is 9. 9 * 2 = 18.

Hope this helps! :)

"A line goes through the points (1, -10) and (-3, -2). Write the equation of the line in slope-intercept form, then find the x-intercept of the line. Show your work algebraically for full credit."

Slope

[tex]\frac{-10-(-2)}{1-(-3)}=-2[/tex]

Equation

[tex]y+10=-2(x-1)[/tex]

x-intercept

The x-intercept is when y=0.

[tex]10=-2(x-1)\\\\-5=x-1\\\\x=-4[/tex]

So, the x-intercept is (-4, 0).

[(2,0)((-1, 3){(1,0)[(-1, -3)(0, 2)[(-3,-1)]Line 1Line 2Point of Intersection(0, 2). (-5, -3)(0,5). (-5, -5)(-2, 1), (-3,-1)(0, 2), (2,0)(4,-2), (1,1)(4,2), (0, -2)(2,-2), (0, 2)(2, 1), (3, 2)ResetNext

First case **Second case****Third case****Fourth case**

Line (0, 2), (-5, -3) ---> y = x + 2

Line (0, 5), (-5, -5) ---> y = 2x + 5

Point of intersection ---> we need to equate both equations:

[tex]x+2=2x+5\Rightarrow-5+2=2x-x\Rightarrow-3=x[/tex]If x = -3 ---> y = -3 + 2 ---> y = -1

**The point of intersection in this case is (-3, -1) (the last one, from left to right).**

Line (-2, 1), (-3, -1) ---> y = 2x + 5

Line (0, 2), (2, 0) ---> y = -x + 2

Equating both equations to find the intersection point:

[tex]2x+5=-x+2\Rightarrow2x+x=2-5\Rightarrow3x=-3\Rightarrow x=-1[/tex]If x = -1, then y = -(-1) + 2 ---> y = 1 + 2 ---> y = 3

**The point of intersection is (-1, 3) (the second one, from left to right).**

Line (4, -2), (1, 1) ---> y = -x +2

Line (4, 2), (0, -2) ---> y = x - 2

Then, we have ---> intersection point:

[tex]-x+2=x-2\Rightarrow2+2=x+x\Rightarrow4=2x\Rightarrow x=2[/tex]Using the second equation to find y ---> y = 2 -2 ---> y = 0

**The point of intersection is (2, 0) (the first point, from left to right).**

Line (2, -2) (0, 2) ---> y = -2x + 2

Line (2, 1), (3, 2) ---> y = x - 1

Then, we have:

[tex]-2x+2=x-1\Rightarrow1+2=x+2x\Rightarrow3=3x\Rightarrow x=1[/tex]Using the second equation to find y ---> y = 1 - 1 ---> y = 0

**The point of intesection is (1, 0) ( the third point, from left to right).**

You went to an action figure shop to buy a figure of your favorite anime character. The purchase price was $20, and the selling price was $30. You gave the shop owner $100, but the owner didn't have any change. So he went to the neighboring shop, got change for $100, and gave you $70. Unfortunately, the neighboring shop owner found out that the 100-dollar bill given to him was fake, so he went to the action figure shop and got back his change of $100. Now the question is, how much did the owner of the action figure store lose in total?

The owner** lose**s the figure and the $70 that gives back, so the** total amount **he **loses **is $90.

How much did the owner of the action figure store lose in total?

We know that the owner **initially **has a figure whose price is $20, and he sells it for $30.

Then, he sells it for a $100 bill, so he gives $70 back.

The problem is that the $100 bill was fake, so at this point the total amount that he **loses **is:

The **value **of the action figure (which is $20) plus the $70 that he gives back.

**Adding **these two we get:

$20 + $70 = $90

The owner **loses **$90 in total.

Learn more about **additions**:

https://brainly.com/question/25421984

#SPJ1

Solving a value mixture problem using a system of linear....

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $20 and same-day tickets cost $35. For one performance,

there were 60 tickets sold in all, and the total amount paid for them was $1500. How many tickets of each type were sold?

Number of advance tickets sold:

Number of same-day tickets sold:

The **linear** **equation** 20x + 35(60-x) = 1500 can be solved to find the number of tickets.

**What is an equation?**

An **equation** is a formula in mathematics that expresses the **equivalence** of **two expressions** by linking them with the** equals symbol **=. The word **equation** and its related terms in various languages may have somewhat different definitions; for example, in **French**, an **equation** is described as including one or more elements, but in English, an **equation** is any well-formed formula that includes **two expressions **linked by an** equals sign.**

Let the number of **advance tickets **sold = x

And then, the number of **same-day tickets** sold = 60 - x

Then, the **equation **formed is

20x + 35(60-x) = 1500

=> 20x + 2100 - 35x = 1500

=> -15x = 1500 - 2100

=> x = -600/ -15 = 40

Hence, the number of **advance tickets** sold = 40

And the number of same-day** tickets **sold = 60 - 40 = 20

To learn more about an **equation**, click on the link

https://brainly.com/question/2972832

#SPJ9

Matt and Wei are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small boxes of fruit and large boxes of fruit. Matt sold 18 small boxes of fruit and 25 large boxes of fruit for a total of $529.50. Wei sold 18 small boxes of fruit and 10 large boxes of fruit for a total of $282.00. Find the cost of one small box of fruit and the cost of one large box of fruit.

**Answer:**

The small box price is 6.5 and The large box price is 16.5

**Step-by-step explanation:**

I did the question with a **simultaneous** **equation**

let's say the price of the small box = x and the price of the large box = y

Then, I just subtract downward;

18x+25y=529.50

- 18x+10y=282.00

_____________

0+15y=247.50

15y=247.50

— ————

15 15

I just canceled 15 by 15:

Then, y=247.50÷15=**16.5**

so I just find the value of Y which is 16.5, then I insert it into the second equation:

18x+10y=282

18x+10(16.5)=282

18x+165=282

18x=282-165

18x=117

— —

18 18

Cancel 18 by 18

finally **x=6.5**

Insert x and y into both equations, it works

You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 6? (b) What is the probability of getting a sum of 4? (c) What is the probability of getting a sum of 6 or 4? Are these outcomes mutually exclusive?

Based on the number of **dice rolled**, the **probability **of getting the **sum **of 6, and 4 and 6 or 4 can be found to be:

**Probability** of getting sum of 6:

(1 and 5) (2 and 4) (3 and 3) (4 and 2) ( 5 and 1)

= 5 / (6 x 6)

= 5 / 36

The number of sums of 4 are:

= (1 and 3), (2 and 2), (3 and 1)

= 3 / (6 x 6)

= 1 / 12

The probability of getting sums of 6 and 4 are:

= (5 + 3) / (6 x 6)

= 8 / 36

= 2 / 9

These events are **mutually exclusive** because they cannot roll a sum of 6 or 4.

Find out more on **mutually exclusive events **at https://brainly.com/question/12961938

#SPJ1

Use a law of exponents to write (-3mn^5)^4 as a product of powers

The **exponent **is** 81**[tex]m^{} 4[/tex] [tex]n^{20}[/tex]

Here we have to determine the sign for exponential or radical expression

(-3m[tex]n^{5}[/tex])^4

Simplify using the **exponent rule **with the** same exponent **[tex](ab)^{n}[/tex]** = **[tex]a^{n}[/tex]** . **[tex]b^{n}[/tex]

Similarly

(-3m[tex]n^{5}[/tex])^4

= [tex](-3)^{4}[/tex] . [tex]m^{4}[/tex]. [tex](n^{5} )^{4}[/tex]

Now using the **exponent power rule **[tex](a^{n} )^{m}[/tex]** = **[tex]a^{nm}[/tex]**.** We get

= 81 . [tex]m^{4}[/tex].[tex]n^{20}[/tex]

Therefore the **exponent as a product of power is 81**[tex]m^{4} n^{20}[/tex]**.**

To know more about **the exponent **refer to the link given below:

https://brainly.com/question/24237586

#SPJ1

A wheel on Amanda's bicycle is 0.3 m in diameter. Amanda races the bicycle for 35 m. How many times does the wheel turn as the bicycle travels this distance?

Use the value 3,14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.

**Answer:**

37.2 rotations

**Step-by-step explanation:**

35 / (3.14 x .3) = 37.15499

Rounded = 37.2 rotations

Shureka Washburn has scores of 86, 84, 83, and 49 on her algebra tests.

a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 76 or higher, given that the final exam counts as two tests.

b. Explain the meaning of the answer to part (a).

The most appropriate choice for** average** will be given by-

Shureka Washburn must get 78 or higher in her final exam to make her **average **76 or higher.

**What is average?**

In a data set, there are many numbers. **Average** is the single number which acts as a representative of all the numbers in the data set.

**Average** is calculated by sum of all observations divided by total number of observations.

Here,

Let the score of Shureka Washburn in her last test be x

Score of Shurek Washburn on first test = 86

Score of Shurek Washburn on second test = 84

Score of Shurek Washburn on third test = 83

Score of Shurek Washburn on fourth test = 49

Total sum of all her scores = 86 + 84 + 83 + 49 + x

= 302 + x

Average = [tex]\frac{302 + x }{5}[/tex]

By the problem,

[tex]\frac{302 + x}{5} \geq 76[/tex]

[tex]302 + x \geq 76[/tex] [tex]\times 5[/tex]

[tex]302 + x \geq 380[/tex]

[tex]x \geq 380 - 302[/tex]

[tex]x \geq 78[/tex]

Shureka Washburn must get 78 or higher in her final exam to make her average 76 or higher.

To learn more about **average**, refer to the link:

https://brainly.com/question/20118982

#SPJ9

Recall that the sum of the measures of the angles of a triangle is 180°. In the triangle below, angle Chas the same measure as angle B, and angle measures 42° less than angle B.

Find the measure of each angle.

**Answer:**

180=x+42

collect like terms

x=180-42

x=138

Solve the system of equations by multiplying. -3x +2y= 4 4x-13y=5

**Answer:**

**Step-by-step explanation:**

To find the value of x and y, isolate it on one side of the equation.

-3x+2y=4, 4x=13y=5

-3x+2y=4

[tex]\rightarrow \sf{x=-\dfrac{4-2y}{3}}[/tex]

Substitute.

[tex]\sf{4\left(-\dfrac{4-2y}{3}\right)-13y=5}[/tex]

Solve.

Use the distributive property.

A(B+C)=AB+AC

A(B-C)=AB-AC

[tex]\sf{=\dfrac{-16-31y}{3}=5}[/tex]

Isolate the term of y.

Multiply by 3 from both sides.

[tex]\sf{\dfrac{3\left(-16-31y\right)}{3}=5*3}[/tex]

Solve.

Multiply the numbers from left to right.

5*3=15

-16-31y=15

Add by 16 from both sides.

-16-31y+16=15+16

Solve.

15+16=31

-31y=31

Divide by -31 from both sides.

-31y/-31=31/-31

Solve.

**y=-1**

Substitute of y=-1.

[tex]\sf{x=-\dfrac{4-2\left(-1\right)}{3}}[/tex]

Solve.

Use the **order of operations.**

**PEMDAS **stands for:

4-2(-1)

Do parentheses by multiply first.

2(-1)=-2

4-(-2)

4+2=6

-6/3

Divide.

-6/3=-2

**x=-2**

[tex]\Rightarrow \boxed{\sf{x=-2, \quad y=-1}}[/tex]

Therefore, the correct answer is** x=-2, and y=-1.**

I hope this helps, let me know if you have any questions.

What is the distance between points A(2,9) and B(-2,6)? Round to the nearest whole number.

**The distance **between the two points is** 5.**

The **formula to find the distance** between two points (x1, y1) and (x2, y2)

**distance = **[tex]\sqrt{(x2-x1)^{2} + (\\ y2-y1)^{2} }[/tex]

Substituting points A(2,9) and B(-2,6), we get

distance = [tex]\sqrt{(-2-2)^{2} + ( 6-9)^{2} }[/tex]

=[tex]\sqrt{(-4)^{2} + (-3)^{2} }[/tex]

= [tex]\sqrt{16 + 9}[/tex]

=[tex]\sqrt{25}[/tex]

= 5

Therefore the distance between the two points is 5.

To know more about** the distance between the two points** refer to the link given below:

https://brainly.com/question/7243416

#SPJ1

4. (01.02 LC) Brandi earned $78 in interest after one and one half years on an account that paid 7.5% simple interest annually. Use the formula I = Prt to find Brandi's principal balance. Round to the nearest hundredth. (1 point) $69.33 $87.75 $693.33 $768.00

The **principal amount **is $693.33.

**Simple** **interest **is a quick and simple approach to **figure **out how much **money **has accrued **interest**. **Interest **is always applied to the **original principal amount **and is calculated at the same **rate **for each period of **time**. Any bank where we deposit money will pay us interest on that amount.

The formula is

Simple Interest = P x R x T/100

Given:

**Interest **= 78

**Rate**= 7.5%

**Time**= 1 and half year = 1.5 year

Now, **Simple** **Interest**= P x R x T / 100

78 = P x 7.5 x 1.5 / 100

7800= P x 11.25

P = 7800/11.25

P = 693.33

Hence, the **principal amount **is $693.33.

Learn more about **interest **here:

https://brainly.com/question/13324776

#SPJ1

Answer this Graph based Question I will make you brailiest and provide you 50 points. And also explain the (vii) Question..

**Answer:**

(i) -2, (ii) Attached, (iii) x = - 1, (iv) y=6 maximum, y= - 2 minimum, (v) x = 0.723, (vi) y = - 3, (vii) y = - 1

**Step-by-step explanation:**

(i) Find the value of y when x = - 2

y = (- 2 + 1)² - 3 = (-1)² - 3 = 1 - 3 =(ii) See the graph **attached**

(iii) The axis of symmetry is the vertical line passing through the vertex, which is x + 1 = 0 or **x = - 1**.

This is also reflected on the attached graph.

(iv) From the graph it is visible that in the given interval the function is **decreasing**, so the value at x = - 4 is the maximum and the value at x = - 2 is minimum:

These two points too are given on the same graph.

(v) There ate two x-intercepts, the one **on the right** is the larger one.

It is **(0.732, 0)**, marked on the graph.

(vi) This function is the **standard form** of the given:

With the positive leading coefficient of 1, it has a minimum value but no maximum. The minimum of this function is at its vertex, which is **(- 1, 3)** as per graph.

(vii) The function y = x² + 2x is the **translation** of the given function **up by two units.**

So its **minimum value** is 2 units greater:

Are these right? Geometry by the way, someone please help

With regards to the **rigid transformations**, Yes, it is true to state that ∠ABD is congruent to ∠EFM. This can be justified by **translating **∠ABD by superimposing it on ∠EFM.

It is also true to state that ∠ ABD is **congruent **to ∠GFHG. To justify this, **rotate** ∠ABD by 180°

A **rigid transformation **in mathematics is a geometric transformation of a **Euclidean space **that retains the Euclidean distance between each pair of points. Rotations, **translations**, reflections, and any combination of these are examples of rigid transformations.

Hence, the above statements are true. Note that rigid transformations **do not modify** the distance angles, size or shape.

Learn more about **rigid** **transformation**:

https://brainly.com/question/28004150

#SPJ1

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $35 and then an additional 6 cents per minute of use.

For what amounts of monthly phone use will Plan A cost less than Plan B?

Use m for the number of minutes of phone use, and solve your inequality for m

**Answer: Less than 470 minutes**

**Step-by-step explanation:**

This equation represents this problem.

0.04x + 44.4 = 0.06x + 35

Solve,

0.02x = 9.4

1 / .02 = 50

x = 470

At 470 minutes they're equal and we are looking for when Plan A is cheaper then Plan B, so x < 470

Use m instead of x in this problem, sorry didn't read the last line.

Given a || b , and c is not parallel to a or b, which statements must be true? a 1/2 3 / 4 Select each correct answer b . 5/6 7/8 mZ2 = m_7 9/10 C m27 = m_10 11 / 12 mZ8 = m29 m24 = m28

**m∠2 = m∠7**

**and **

**m∠4 = m∠8 **

**Both are correct answers and should be ticked**

Here, we want to select which of the statements must be correct based on the diagram given

a) m∠2 = m∠7

This is correct

m∠2 = m∠3 as they are vertically opposite angles

However, m∠3 = m∠7 as they are vertically opposite angles

b) m∠7 = m∠10

We cannot compare the relationship between b and c as the pair are not parallel lines

c) m∠8 = m∠9

This is not correct also as the pair of lines are not parallel

d) m∠4 = m∠8

These two are corresponding angles, so they are congruent and thus equal in value

In the excretory system , a waste substance called ______ is filtered out of the blood.kidneys - renal - urea - urine - water
What if the U.S. Government wants to slow down INFLATION. What would be the best policy tool to accomplish this?
Question 3 -of 4 Step 1 of 1A box contains 17 green marbles and 8 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, withoutreplacement, a green marble? Express your answer as a fraction or a decimal number rounded to four decimal places.
Which sentence contains a dangling a modifier?
_______ defines analysis, synthesis, and evaluation as three stages of the design process.Question 12 options:ASEInfused designThe Munich procedural modelC-K
Has anyone else done this before??if not i am still confused how to find difference between a radius and the accepted value can be expressed as the percent error. What is a percent error!? My radius was 3486.
A pound of potatoes costs $0.95. The total cost varies directly with the pounds of potatoes purchased. Write an equation that relates the total cost, c, and the number of pounds of potatoes purchased, p. Responsesc=p+0.95c is equal to p plus 0 point 9 5c=0.95pc is equal to 0 point 9 5 pp=0.95cp is equal to 0 point 9 5 cc=p0.95c is equal to p over 0 point 9 5
There are 7 women and 5 men in a department.4 people are needed for a focus group how many ways can this group be formed if it must include at least 2 women
translate to an inequality. he runs at least 1.8 hours per day. question content area bottom part 1 let r represent the number of hours of running per day.
What do CAD, CAM, and 3D animation all have in common? A. they are all specific hardware that help to solve a problem in the business industry B. they are all specialized software that help to solve a problem in the business industry C. they are all specific software programs that are used strictly for entertainment purposes D. they are all specialized pieces of hardware that are used strictly for entertainment purposes
The degree of the polynomial function f(x) is 3.The roots of the equation f(x) = 0 are -1, 0, and 4.Which graph could be the graph of f(x)?l
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Find the difference.9832 - 6199 =
Given that f(x)=2x2+4x and g(x)=3x+3, find the functions below.Simplify answers completely.
Recall that the sum of the measures of the angles of a triangle is 180. In the triangle below, angle Chas the same measure as angle B, and angle measures 42 less than angle B.Find the measure of each angle.
Find two numbers the exact answer is between 67381
A student is doing an investigation with solids, liquids, and gases. They put each substance into a large syringe and press down. Thestudent is not able to compress the solid or the liquid into a smaller volume. When they get to the gas, they notice that it will compressinto a smaller volume. Why are gases more compressible than liquids and solids? 100 points
write a an essay on I wish I had not cheated in the examination 1 and the half page pls help me
What did James II do to gain absolute rule?He pursued Protestantism as the state religion and dismissed Parliament.He pursued Catholicism as the state religion and dismissed Parliament.He pursued Protestantism as the state religion and headed Parliament.He pursued Catholicism as the state religion and headed Parliament.Mark this and return
A 45 foot ladder is set up against the side of a house so that it raches up 27 feet. if latanya grabs the ladder at its base and pulls it 3 feet farther from the house how far up will the side of the ladder reach now
what is the purpose of salt in making ice cream in simple words?